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102000102120 = 2334574497359
BaseRepresentation
bin101111011111110101…
…1100000101011101000
3100202021120012001120000
41132333223200223220
53132344011231440
6114505212103000
710240441364010
oct1367753405350
9322246161500
10102000102120
113a292442464
1217927764a60
139806cc1417
144d18944c40
1529beb1c730
hex17bfae0ae8

102000102120 has 160 divisors (see below), whose sum is σ = 391810003200. Its totient is φ = 23314303872.

The previous prime is 102000102067. The next prime is 102000102161. The reversal of 102000102120 is 21201000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2226000 + ... + 2271359.

It is an arithmetic number, because the mean of its divisors is an integer number (2448812520).

Almost surely, 2102000102120 is an apocalyptic number.

102000102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000102120 is an abundant number, since it is smaller than the sum of its proper divisors (289809901080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102000102120 is a wasteful number, since it uses less digits than its factorization.

102000102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497389 (or 4497376 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102000102120 its reverse (21201000201), we get a palindrome (123201102321).

The spelling of 102000102120 in words is "one hundred two billion, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 4497359 8994718 13492077 17989436 22486795 26984154 31481513 35978872 40476231 44973590 53968308 62963026 67460385 80952462 89947180 94444539 107936616 121428693 125926052 134920770 157407565 161904924 179894360 188889078 202381155 242857386 251852104 269841540 283333617 314815130 323809848 364286079 377778156 404762310 472222695 485714772 539683080 566667234 607143465 629630260 728572158 755556312 809524620 850000851 944445390 971429544 1133334468 1214286930 1259260520 1416668085 1457144316 1619049240 1700001702 1821430395 1888890780 2266668936 2428573860 2550002553 2833336170 2914288632 3400003404 3642860790 3777781560 4250004255 4857147720 5100005106 5666672340 6800006808 7285721580 8500008510 10200010212 11333344680 12750012765 14571443160 17000017020 20400020424 25500025530 34000034040 51000051060 102000102120